Two farmers are pushing on a gate with forces Fa and FB, applied at locations A and B respectively. The gate has a hinge at C and you may neglect the thickness of the gate. Assume that the gate is in static equilibrium. The force F, is applied at an angle of a = 65° and the force FB is applied at an angle of B = 35°. The distance between B and the hinge at C is DBC = 2 m, and the distance between A and the hinge at C is DAC = 3 m. Suppose that |F4| = 300 N. DAC a BB Dạc a) Draw a Free Body Diagram to represent this set-up. b) Write down the equations for static equilibrium. c) Calculate the moment about C, leaving your answer in terms of the unknown force magnitude |FB|. d) Calculate |Fg|. OK

Two farmers are pushing on a gate with forces Fa and FB, applied at locations A and B respectively. The gate has a hinge at C and you may neglect the thickness of the gate. Assume that the gate is in static equilibrium. The force F, is applied at an angle of a = 65° and the force FB is applied at an angle of B = 35°. The distance between B and the hinge at C is DBC = 2 m, and the distance between A and the hinge at C is DAC = 3 m. Suppose that |F4| = 300 N. DAC a BB Dạc a) Draw a Free Body Diagram to represent this set-up. b) Write down the equations for static equilibrium. c) Calculate the moment about C, leaving your answer in terms of the unknown force magnitude |FB|. d) Calculate |Fg|. OK

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Two farmers are pushing on a gate with forces Fa and FB, applied at locations A and B respectively. The gate has a hinge at Cand you may neglect the thickness of the gate. Assume that the gate is in static equilibrium. The force FA is applied at an angle of a = 35° and the force Fg is applied at an angle of 3 = 70°. The distance between Band the hinge at Cis DBC = 1.5 m, and the distance between A and the hinge at Cis DAC = 2 m. Suppose that |FA| = 100 N. Aa Dac a) Draw a Free Body Diagram to represent this set-up. b) Write down the equations for static equilibrium. c) Calculate the moment about C, leaving your answer in terms of the unknown force magnitude | Fg|- d) Calculate Fa|-
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